scholarly journals Hybrid Semiclassical Theory of Quantum Quenches in One-Dimensional Systems

2017 ◽  
Vol 119 (10) ◽  
Author(s):  
Cătălin Paşcu Moca ◽  
Márton Kormos ◽  
Gergely Zaránd
Keyword(s):  
Semiclassical Theory ◽  
One Dimensional ◽  
Quantum Quenches

scholarly journals Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates

2018 ◽  
Vol 4 (4) ◽  
Author(s):  
Alessandro Fabbri ◽  
Nicolas Pavloff
Keyword(s):  
Hawking Radiation ◽  
Momentum Space ◽  
Einstein Condensate ◽  
Measuring Process ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Momentum Correlation ◽  
Quantum Quenches ◽  
Effects Of Temperature ◽  
Bose Einstein

We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.

scholarly journals Quantum quenches to the attractive one-dimensional Bose gas: exact results

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Lorenzo Piroli ◽  
Pasquale Calabrese ◽  
Fabian Essler
Keyword(s):  
Bound States ◽  
Pair Correlation ◽  
Bose Condensate ◽  
Bose Gas ◽  
Exact Results ◽  
Initial State ◽  
One Dimensional ◽  
Quantum Quenches ◽  
Local Pair ◽  
The One

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function g_2g2.

scholarly journals Entanglement dynamics after quantum quenches in generic integrable systems

2018 ◽  
Vol 4 (3) ◽  
Author(s):  
Vincenzo Alba ◽  
Pasquale Calabrese
Keyword(s):  
Entanglement Entropy ◽  
Maximum Velocity ◽  
Quantum Systems ◽  
Analytic Description ◽  
One Dimensional ◽  
Quantum Quenches ◽  
Interacting Systems ◽  
Crucial Information ◽  
Quasiparticle Picture ◽  
Dependent State

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the entanglement spreading with the exact knowledge of the stationary state provided by Bethe ansatz, it is possible to obtain an exact and analytic description of the evolution of the entanglement entropy. Here we discuss the application of these ideas to several integrable models. First we show that for non-interacting systems, both bosonic and fermionic, the exact time-dependence of the entanglement entropy can be derived by elementary techniques and without solving the dynamics. We then provide exact results for interacting spin chains that are carefully tested against numerical simulations. Finally, we apply this method to integrable one-dimensional Bose gases (Lieb-Liniger model) both in the attractive and repulsive regimes. We highlight a peculiar behaviour of the entanglement entropy due to the absence of a maximum velocity of excitations.

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